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Finding the Fourth Proportional to 2,472.39, 3,707.37 and 1,011.42

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Solution

The fourth proportional to 2,472.39, 3,707.37 and 1,011.42 is: 1,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.39 : 3,707.37 = 1,011.42 : x
  2. Step 2: Convert to fraction form
    2,472.39/3,707.37 = 1,011.42/x
  3. Step 3: Cross multiply
    2,472.39x = 3,707.37 × 1,011.42
  4. Step 4: Simplify right side
    2,472.39x = 3,749,708.17
  5. Step 5: Solve for x
    x = 3,749,708.17/2,472.39
  6. Step 6: Final answer
    x = 1,516.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.